Question

a metal hallow bar whose cross section and dimensions weighs 8000 kg/cubic meter and measures 2 meter in length, determine the mass of the metal bar with a square hole section

Answer 1

Answer on Question #65074- <math>-<geometry>

a metal hallow bar whose cross section and dimensions weighs 8000 kg/cubic meter and measures 2 meter in length, determine the mass of the metal bar with a square hole section

Solution:

1) If the side of the square base of the bar is $\mathbf{a}$ and the side of the square hole is $\mathbf{b}$ – the bars base area is

$$S = a^2 - b^2$$

2) The volume of the bar could be found as

$$V = (a^2 - b^2) * l = 2(a^2 - b^2)$$

3) Thus, if $\rho = m/V \to \infty$ then $V = 8000 * 2 * (a^2 - b^2) = 16000(a^2 - b^2)$

Answer: $m = 16000(a^2 - b^2)$

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